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Finding the Fourth Proportional to 204,505.60, 306,470.40 and 162,457.60

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Solution

The fourth proportional to 204,505.60, 306,470.40 and 162,457.60 is: 243,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,505.60 : 306,470.40 = 162,457.60 : x
  2. Step 2: Convert to fraction form
    204,505.60/306,470.40 = 162,457.60/x
  3. Step 3: Cross multiply
    204,505.60x = 306,470.40 × 162,457.60
  4. Step 4: Simplify right side
    204,505.60x = 49,788,445,655.04
  5. Step 5: Solve for x
    x = 49,788,445,655.04/204,505.60
  6. Step 6: Final answer
    x = 243,457.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.